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JEE Main201910 Jan 2019Evening ShiftMathematicsContinuity and DifferentiabilityActual

Let f : - 1 , 1 → R be a function defined by f x = m a x - x , - 1 - x 2 . If K be the set of all points at which f is not differentiable, then K has exactly

Options

  1. Atwo elements
  2. Bone element
  3. Cthree elements
  4. Dfive elements

Correct answer

C. three elements

Step-by-step solution

From the graph, it can be concluded that f x is non-differentiable at x = 0 , ± 1 2 in - 1 , 1 . ∴   At 3 points in - 1 , 1 .

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